2251440054126 has 96 divisors (see below), whose sum is σ = 5152853141280. Its totient is φ = 708493824000.

The previous prime is 2251440054119. The next prime is 2251440054133. The reversal of 2251440054126 is 6214500441522.

2251440054126 is a `hidden beast` number, since 2 + 2 + 51 + 4 + 40 + 0 + 541 + 26 = 666.

It is an interprime number because it is at equal distance from previous prime (2251440054119) and next prime (2251440054133).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145499926 + ... + 145515398.

It is an arithmetic number, because the mean of its divisors is an integer number (53675553555).

Almost surely, 2^{2251440054126} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251440054126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576426570640).

2251440054126 is an abundant number, since it is smaller than the sum of its proper divisors (2901413087154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2251440054126 is a wasteful number, since it uses less digits than its factorization.

2251440054126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16962 (or 16959 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 2251440054126 its reverse (6214500441522), we get a palindrome (8465940495648).

The spelling of 2251440054126 in words is "two trillion, two hundred fifty-one billion, four hundred forty million, fifty-four thousand, one hundred twenty-six".